Statement 1: 4 is the integer that is closest to x+yVemuri wrote:The numbers x and y are not integers. The value of x is closest to which integer?
1. 4 is the integer that is closest to x+y
2. 1 is the integer that is closest to x-y
this essentially means (x+y) can be anywhere between 3.5 and 4.5. We can represent this as an inequality:
3.5 < x + y < 4.5
we have no info on y, so insufficient.
Statement 2: 1 is the integer that is closest to x-y
Again, this can be represented in the form of an inequality:
0.5 < x - y < 1.5
here too we do not know anything about y, hence insufficient.
Both statements together:
3.5 < x + y < 4.5
0.5 < x - y < 1.5
add both inequalities:
3.5 + 0.5 < x + y + x - y < 4.5 + 1.5
4 < 2x < 6
2 < x < 3
x can be anywhere between 2 and 3. If x is 2.1, the nearest integer would be 2 and if x is 2.7, the nearest integer would be 3. Insufficient.
Choose E.
-BM-
